Clearly show all steps for each problem. 1) The demand function D (p) for pricep is given by D (p) = 14,000 ?50p. a) Find the elasticity of demand function, E ( p), and use it to nd the value of E (15). Round your answer to two decimal places. b) At what price do you have unit elasticity? Round your answer to the nearest cent. 2 2) Given the function g (x) = w, nd the following: I 3 a) All critical values of g. b) Determine whether there is a local maximum, local minimum, or neither at each critical value. Show a sign chart, as shown in the assigned videos, as part of your work. 3) Given the lnction f (x) = 3:5 +15):4 +25 , nd the following: a) Use its second derivative to nd any inection point(s) of f Give both the x and y coordinate of each inection point. b) Determine over what intervals f is concave up or concave down